Abstract

UNIFORM COMPLEXITY. Models of Computation and Complexity Classes. NP-Completeness. The Polynomial-Time Hierarchy and Polynomial Space. Structure of NP. NONUNIFORM COMPLEXITY. Decision Trees. Circuit Complexity. Polynomial-Time Isomorphism. PROBABILISTIC COMPLEXITY. Probabilistic Machines and Complexity Classes. Complexity of Counting. Interactive Proof Systems. Probabilistically Checkable Proofs and NP-Hard Optimization Problems. Bibliography. Index.

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